A rocket lifted off from a launch pad and traveled vertically 30 km, then traveled 40 km at 30 degrees from the vertical, and then traveled 100 km at 45 degrees from the vertical. At that point, the rocket was how many kilometers above the height of the launch pad?
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Well, we are told that in the beginning, it has traveled 30km vertically, so do not forget to add that on at the end.
Next it says that it traveled 40km 30 degrees from vertical, so we set up a sin equation to solve for the missing side, n:
sin(angle)= opposite/hypotenuse:
sin(30) = n/40
40sin30=n
n=20km
Then it says at an angle of 45 degrees, it goes 100km. This means that we are given the hypotenuse of a right triangle, and we need to find the side that goes up and down. We shall call this length x.
We know that the angle opposite x is 45 degrees.
So, we will use sin to solve for x:
sin(angle)= opposite/hypotenuse
sin45= x/100
100sin45=x
x=70.711km
But remember, I said not to forget about that 30km from the very beginning? So we add up all of our vertical heights:
30km + 20km+ 70.711km = 120.711km
Nico is saving money for his college education. He invests some money at 9% and $1400 less than that amount at 3%. The investments produced a total of $198 interest in 1 yr. how much did he invest at each rate?
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Let x = the amount of money he invests at 9% and y = the amount of money he invests at 3%
y = x - 1400 0.09x + 0.03y = 198
x - y = 1400 9x + 3y = 19800
3x - 3y = 4200 9x + 3y = 19800
12x = 24000 x = 2000 y = 600
$2000 invested at 9% interest and $600 invested at 3% interest.
How many whole dollars can you make with 248 pennies? how many cents are left over
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two dollars: and 48 cents will be left over
2 dollars 48 cents There is 100 cents in a dollar.
A 36 inch by 48 inch poster is reduced to an image that is 3 in by 4 inch in size. What is the scale factor?A: 1/3 B: 1/6 C: 1/9 D: 1/12
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The correct answer for the question that is being presented above is this one: "D: 1/12." The original dimension is 36 x 48. The scaled dimension is 3 x 4.
The ration between 3 and 36 ; 4 and 48 is reduced to 1/12. So the scale factor is 1/12.
PLEASE ANSWER ASAP QUESTION IN ATTACHED FILE
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1. Multiply 12 and 14 to get the entire area = 168. 2. Multiply 7 and 4 to get the missing area = 28. 3. Subtract 28 from 168 = 140cm²
Alright, this figure may initially look challenging, but it can be broken down into much smaller, easier to digest, segments (Reference attached picture). First of all, the area formula of a rectangle/square is A = b*h. Let's break the figure into three separate shapes. The left hand rectangle is 5cm by 12cm. The middle rectangle is 5cm by 4cm. The right hand rectangle is also 5cm by 12cm. 5*12 = 60, 5*12 = 60, 5*4 = 20. 60cm^2 + 60cm^2 + 20cm^2 = 140cm^2 is the total area. Break shapes into pieces to make them easier C:
4, a regular pentagon with radius 9 m
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idk know this one but a math calculator websites can help you